Semilinear Robin Problems with Indefinite Potential and Competition Phenomena

被引：0
|
作者：
Shouchuan Hu
Nikolaos S. Papageorgiou
机构：
[1] Missouri State University,Department of Mathematics
[2] National Technical University,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2020年 / 168卷
关键词：
Competition phenomena; Constant sign solutions; Nodal solutions; Critical groups; Hopf boundary point theorem; Flow invariance; 35J20; 35J60; 58E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider semilinear parametric Robin problems driven by the Laplacian plus an indefinite and unbounded potential. In the reaction we have two competing nonlinearities. However, the competition is different from the usual one in “concave-convex” problems. Using a combination of different tools we prove a multiplicity theorem producing seven nontrivial smooth solutions all with sign information (four of constant sign and three nodal).
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页码：187 / 216
页数：29
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